MFC实现计算机图形学算法
目录
- 1.直线算法
- 1.1 DDA
- 1.2 中点法
- 1.3Bresenham法
- 2.圆
- 2.1中点法
- 1.2 Bresenham法
- 3.椭圆(Bresenhame)
- 4.直线扫描
- 5.种子填充
- 5.1 四领域
- 5.1八领域
- 6.二维几何变换-五种基本变换
- 6.1 平移
- 6.2旋转
- 6.3错切
- 6.4比例
- 6.5对称
- 7.裁剪
- 7.1直线cohen-sutherland法
- 7.2 多边形weiler-atherton法
- 8.三维几何变换-五种基本变换
- 8.1平移
- 8.2旋转
- 8.3对称
- 8.4比例
- 8.5错切
- 9.三视图
- 10.一些配置
- 11.二维变换
源码
1.直线算法
1.1 DDA
void ChuituView::OnDDA()
{
// TODO: 在此添加命令处理程序代码
dlg_line dlg;
dlg.DoModal();
CDC* pDC = GetDC();
CRect rect;
GetClientRect(&rect);
//重定义坐标轴
Axis(pDC, rect);
pDC->TextOut(450, 18, _T("DDA画线法成功了！"));//在屏幕（450，18）的位置显示一个白色底色的黑字：DDA画线法成功了！
double dx, dy, e, x, y;
dx = dlg.x2 - dlg.x1;
dy = dlg.y2 - dlg.y1;
e = (fabs(dx) > fabs(dy) ? fabs(dx) : fabs(dy));
dx /= e;
dy /= e;
x = dlg.x1;
y = dlg.y1;
for (int i = 1; i <= e; ++i) {
pDC->SetPixel(int(x + 0.5), int(y + 0.5), RGB(255, 0, 0));
x += dx;
y += dy;
}
}
1.2 中点法
void ChuituView::OnMidpointline()
{
// TODO: 在此添加命令处理程序代码
dlg_line dlg;
dlg.DoModal();
float x, y, xa, xb, ya, yb;
xa = dlg.x1, ya = dlg.y1;
xb = dlg.x2; yb = dlg.y2;
float d, k;
CDC* pDC = GetDC();
CRect rect;
GetClientRect(&rect);
//重定义坐标轴
Axis(pDC, rect);
pDC->TextOut(450, 18, _T("中点画线法成功了！"));
k = (yb - ya) / (xb - xa);
y = ya, x = xa;
d = 0.5 - k;
for (x = xa; x <= xb; x++)
{
if (d < 0)
{
y = y + 1; d = d + 1 - k;
}
else
{
y = y; d = d - k;
}
pDC->SetPixel(x, y, RGB(0, 0, 255));
}
}
1.3Bresenham法
void ChuituView::OnBresenhamline_1(int x0, int y0, int x1, int y1)
{
// TODO: 在此处添加实现代码.
CDC* pDC = GetDC();
pDC->TextOut(450, 70, _T("请用鼠标划线！"));
// TODO: 在此添加命令处理程序代码
int color = 255;
int x, y, e;
int dx = x1 - x0;//x偏移量
int dy = y1 - y0;//y偏移量
int ux = dx > 0 ? 1 : -1;//x伸展方向
int uy = dy > 0 ? 1 : -1;//y伸展方向
int dx2 = abs(dx << 1);//x偏移量乘2
int dy2 = abs(dy << 1);//y偏移量乘2
if (abs(dx) > abs(dy))//以x为增量方向计算
{
int e = -dx; //e = -0.5 * 2 * dx,把e 用2 * dx* e替换
int x = x0;//起点x坐标
int y = y0;//起点y坐标
while (x != x1 + ux)
{
//printf("%d,%d\n", x, y);
pDC->SetPixel(x, y, color);
e = e + dy2;//来自 2*e*dx= 2*e*dx + 2dy （原来是 e = e + k）
if (e > 0)//e是整数且大于0时表示要取右上的点（否则是右下的点）
{
if (y != y1)
{
y += uy;
}
e = e - dx2;//2*e*dx = 2*e*dx - 2*dx (原来是 e = e -1)
}
x += ux;
}
}
else
{//以y为增量方向计算
int e = -dy; //e = -0.5 * 2 * dy,把e 用2 * dy* e替换
int x = x0;//起点x坐标
int y = y0;//起点y坐标
while (y != y1 + uy)
{
//printf("%d,%d\n", x, y);
pDC->SetPixel(x, y, color);
e = e + dx2;//来自 2*e*dy= 2*e*dy + 2dy （原来是 e = e + k）
if (e > 0)//e是整数且大于0时表示要取右上的点（否则是右下的点）
{
if (x != x1)
{
x += ux;
}
e = e - dy2;//2*e*dy = 2*e*dy - 2*dy (原来是 e = e -1)
}
y += uy;
}
}
}
void ChuituView::OnBresenhamline()
{
CDC* pDC = GetDC();
state = 1;
pDC->TextOut(450, 70, _T("请用鼠标划线！"));
}
2.圆
2.1中点法
void ChuituView::OnMidpointcircle()
{
// TODO: 在此添加命令处理程序代码
dlg_circle dlg;
dlg.DoModal();
CDC* pDC = GetDC();
CRect rect;
GetClientRect(&rect);
//重定义坐标轴
Axis(pDC, rect);
int r = dlg.circle_r;
int x0 =dlg.circle_x, y0 = dlg.circle_y;
double d;
int x = 0;
int y = r;
d = 1 - r;
int color = 255;
//pDC->SetPixel(x, y, color);
while (x < y)
{
pDC->SetPixel(x + x0, y + y0, color);
pDC->SetPixel(-x + x0, y + y0, color);
pDC->SetPixel(-x + x0, -y + y0, color);
pDC->SetPixel(x + x0, -y + y0, color);
pDC->SetPixel(y + x0, x + y0, color);
pDC->SetPixel(-y + x0, x + y0, color);
pDC->SetPixel(-y + x0, -x + y0, color);
pDC->SetPixel(y + x0, -x + y0, color);
if (d < 0)
{
d += 2 * x;
++x;
}
else
{
d += 2 * (x - y) + 5;
++x;
--y;
}
//pDC->SetPixel(x, y, 255);
}
}
1.2 Bresenham法
void ChuituView::Bresenhamcircle_1(int x0, int y0, int r)
{
// TODO: 在此处添加实现代码.
CDC *pDC = GetDC();
int color = 255;
int x = 0;
int y = r;
int d = 1 - r;
while (x <= y)
{
pDC->SetPixel(x + x0, y + y0, color);
pDC->SetPixel(-x + x0, y + y0, color);
pDC->SetPixel(-x + x0, -y + y0, color);
pDC->SetPixel(x + x0, -y + y0, color);
pDC->SetPixel(y + x0, x + y0, color);
pDC->SetPixel(-y + x0, x + y0, color);
pDC->SetPixel(-y + x0, -x + y0, color);
pDC->SetPixel(y + x0, -x + y0, color);
if (d < 0)
d += 2 * x + 3;
else
{
d += 2 * (x - y) + 5;
y--;
}
x++;
}
}
void ChuituView::OnBresenhamcircle()
{
// TODO: 在此添加命令处理程序代码
CDC *pDC = GetDC();
pDC->TextOut(450, 70, _T("请用鼠标划线以确定远点坐标和半径！"));
state = 2;
}
3.椭圆(Bresenhame)
void ChuituView::OnBresenhamellipse()
{
// TODO: 在此添加命令处理程序代码
CRect rect;
GetClientRect(&rect);
CDC* pDC = GetDC();
//重定义坐标轴
Axis(pDC, rect);
pDC->TextOut(400, 70, _T("这是一个长半轴为200,短半轴100的椭圆！"));
int a = 200, b = 100, color = 255, x, y;
float d1;
float d2 = 0;
x = 0; y = b;
d1 = b * b + a * a*(-b + 0.25);
pDC->SetPixel(x, y, color);
pDC->SetPixel(-x, -y, color);
pDC->SetPixel(-x, y, color);
pDC->SetPixel(x, -y, color);
while (b*b*(x + 1) < a*a*(y - 0.5))
{
if (d1 <= 0)
{
d1 += b * b*(2 * x + 3);
x++;
}
else
{
d1 += b * b*(2 * x + 3) + a * a*(-2 * y + 2);
x++;
y--;
}
pDC->SetPixel(x, y, color);
pDC->SetPixel(-x, -y, color);
pDC->SetPixel(-x, y, color);
pDC->SetPixel(x, -y, color);
}
d2 += b * b*(x + 0.5)*(x + 0.5) + a * a*(y - 1)*(y - 1) - a * a*b*b;
while (y > 0)
{
if (d2 <= 0)
{
d2 += b * b*(2 * x + 2) + a * a*(-2 * y + 3);
x++;
y--;
}
else
{
d2 += a * a*(-2 * y + 3);
y--;
}
pDC->SetPixel(x, y, color);
pDC->SetPixel(-x, -y, color);
pDC->SetPixel(-x, y, color);
pDC->SetPixel(x, -y, color);
}
}
4.直线扫描
//直线扫描
void ChuituView::OnPolygonscan()
{
// TODO: 在此添加命令处理程序代码
CDC* pDC = GetDC();
const int POINTNUM = 6;
typedef struct XET
{
float x;
float dx, ymax;
XET* next;
}
AET, NET;
struct point
{
float x;
float y;
}
polypoint[POINTNUM] = { 250, 50, 550, 150, 550, 400, 250, 250, 100, 350, 100, 100 };
int MaxY = 0;
int i;
for (i = 0; i < POINTNUM; i++)
if (polypoint[i].y > MaxY)
MaxY = polypoint[i].y;
AET *pAET = new AET;
pAET->next = NULL;
NET *pNET[1024];
for (i = 0; i <= MaxY; i++)
{
pNET[i] = new NET;
pNET[i]->next = NULL;
}
for (i = 0; i <= MaxY; i++)
{
for (int j = 0; j < POINTNUM; j++)
if (polypoint[j].y == i)
{
if (polypoint[(j - 1 + POINTNUM) % POINTNUM].y > polypoint[j].y)
{
NET *p = new NET;
p->x = polypoint[j].x;
p->ymax = polypoint[(j - 1 + POINTNUM) % POINTNUM].y;
p->dx = (polypoint[(j - 1 + POINTNUM) % POINTNUM].x - polypoint[j].x) / (polypoint[(j - 1 + POINTNUM) % POINTNUM].y - polypoint[j].y);
p->next = pNET[i]->next;
pNET[i]->next = p;
}
if (polypoint[(j + 1 + POINTNUM) % POINTNUM].y > polypoint[j].y)
{
NET *p = new NET;
p->x = polypoint[j].x;
p->ymax = polypoint[(j + 1 + POINTNUM) % POINTNUM].y;
p->dx = (polypoint[(j + 1 + POINTNUM) % POINTNUM].x - polypoint[j].x) / (polypoint[(j + 1 + POINTNUM) % POINTNUM].y - polypoint[j].y);
p->next = pNET[i]->next;
pNET[i]->next = p;
}
}
}
for (i = 0; i <= MaxY; i++)
{
NET *p = pAET->next;
while (p)
{
p->x = p->x + p->dx;
p = p->next;
}
AET *tq = pAET;
p = pAET->next;
tq->next = NULL;
while (p)
{
while (tq->next && p->x >= tq->next->x)
tq = tq->next;
NET *s = p->next;
p->next = tq->next;
tq->next = p;
p = s;
tq = pAET;
}
AET *q = pAET;
p = q->next;
while (p)
{
if (p->ymax == i)
{
q->next = p->next;
delete p;
p = q->next;
}
else
{
q = q->next;
p = q->next;
}
}
p = pNET[i]->next;
q = pAET;
while (p)
{
while (q->next && p->x >= q->next->x)
q = q->next;
NET *s = p->next;
p->next = q->next;
q->next = p;
p = s;
q = pAET;
}
p = pAET->next;
while (p && p->next)
{
for (float j = p->x; j <= p->next->x; j++)
pDC->SetPixel(static_cast(j), i, RGB(255, 0, 0));
p = p->next->next;//考虑端点情况
}
}
}
5.种子填充
5.1 四领域
//四领域
void ChuituView::OnPolygonfloodfill4()
{
// TODO: 在此添加命令处理程序代码
CClientDC dc1(this);
for (int i = 0; i <= 60; i++)
{
dc1.SetPixel(0, i, 200);
}
for (int i = 0; i <= 60; i++)
dc1.SetPixel(i, 0, 200);
for (int i = 0; i <= 60; i++)
dc1.SetPixel(i, 60, 200);
for (int i = 0; i <= 60; i++)
dc1.SetPixel(60, i, 200);
FloodFill4(20, 20, 200, 100);
}
void ChuituView::FloodFill4(int x, int y, int oldColor, int newColor)
{
CClientDC dc(this);
int color;
color = dc.GetPixel(x, y);
if ((color != oldColor) && color != newColor)
{
dc.SetPixel(x, y, newColor);
FloodFill4(x, y + 1, oldColor, newColor);
FloodFill4(x, y - 1, oldColor, newColor);
FloodFill4(x - 1, y, oldColor, newColor);
FloodFill4(x + 1, y, oldColor, newColor);
}
}
5.1八领域
//八领域
void ChuituView::OnPolygonfloodfill8()
{
// TODO: 在此添加命令处理程序代码
CClientDC dc1(this);
for (int i = 0; i <= 50; i++)
{
dc1.SetPixel(0, i, 200);
}
for (int i = 0; i <= 50; i++)
dc1.SetPixel(i, 0, 200);
for (int i = 0; i <= 50; i++)
dc1.SetPixel(i, 50, 200);
for (int i = 0; i <= 50; i++)
dc1.SetPixel(50, i, 200);
FloodFill8(6, 6, 200, 250);
}
void ChuituView::FloodFill8(int x, int y, int oldColor, int newColor)
{
CClientDC dc(this);
int color;
color = dc.GetPixel(x, y);
if ((color != oldColor) && color != newColor)
{
dc.SetPixel(x, y, newColor);
FloodFill8(x, y + 1, oldColor, newColor);
FloodFill8(x, y - 1, oldColor, newColor);
FloodFill8(x - 1, y, oldColor, newColor);
FloodFill8(x + 1, y, oldColor, newColor);
FloodFill8(x + 1, y + 1, oldColor, newColor);
FloodFill8(x - 1, y - 1, oldColor, newColor);
FloodFill8(x + 1, y - 1, oldColor, newColor);
FloodFill8(x - 1, y + 1, oldColor, newColor);
}
}
6.二维几何变换-五种基本变换
6.1 平移
//平移
void ChuituView::Onpingyi2()
{
// TODO: 在此添加命令处理程序代码
CClientDC dc(this);
CRect rect;
GetClientRect(&rect);//返回的是设备坐标，而SetViewportOrg需要的也是设备坐标，故此处不用转换
dc.SetViewportOrg(rect.Width() / 2, rect.Height() / 2);
int Tx = 100, Ty = 200;//x平移100，y平移200
int a[4][2] = { 0, 0, 100, 0, 100, 100, 0, 0 };//确定三角形的形状
dc.TextOut(100, 0, (CString)"原图形");
for (int i = 0; i < 3; i++)
{
dc.MoveTo(a[i][0], a[i][1]);
dc.LineTo(a[i + 1][0], a[i + 1][1]);
}
CPen pen;
pen.CreatePen(PS_SOLID, 1, RGB(0, 0, 255));
dc.SelectObject(&pen);
dc.TextOut(100 + Tx, Ty, (CString)"平移后图形");
for (int i = 0; i < 3; i++)
{
dc.MoveTo(a[i][0] + Tx, a[i][1] + Ty);
dc.LineTo(a[i + 1][0] + Tx, a[i + 1][1] + Ty);
}
}
6.2旋转
//旋转
void ChuituView::Onxuanzhaun2()
{
// TODO: 在此添加命令处理程序代码
CClientDC dc(this);
CRect rect;
GetClientRect(&rect);//返回的是设备坐标，而SetViewportOrg需要的也是设备坐标，故此处不用转换
dc.SetViewportOrg(rect.Width() / 2, rect.Height() / 2);
float o = 3.1415926 / 2; //旋转90度
float c = cos(o);
float s = sin(o);
int Tx = 300;
int a[4][2] = { 0, 0, 100, 0, 100, 100, 0, 0 };//确定三角形的形状
dc.TextOut(100, 0, (CString)"原图形");
for (int i = 0; i < 3; i++)
{
dc.MoveTo(a[i][0], a[i][1]);
dc.LineTo(a[i + 1][0], a[i + 1][1]);
}
CPen pen;
pen.CreatePen(PS_SOLID, 1, RGB(0, 0, 255));
dc.SelectObject(&pen);
dc.TextOut(100 * c + Tx, 0, (CString)"旋转后图形");
for (int i = 0; i < 3; i++)
{
dc.MoveTo(a[i][0] * c - a[i][1] * s + Tx, a[i][0] * s + a[i][0] * c);
dc.LineTo(a[i + 1][0] * c - a[i + 1][1] * s + Tx, a[i + 1][0] * s + a[i + 1][0] * c);
}
}
6.3错切
//错切
void ChuituView::Oncuoqie2()
{
// TODO: 在此添加命令处理程序代码
CClientDC dc(this);
CRect rect;
GetClientRect(&rect);//返回的是设备坐标，而SetViewportOrg需要的也是设备坐标，故此处不用转换
dc.SetViewportOrg(rect.Width() / 2, rect.Height() / 2);
int b = 2, c = 2;
int Tx = 300;
int a[4][2] = { 0, 0, 100, 0, 100, 100, 0, 0 };//确定三角形的形状
dc.TextOut(100, 0, (CString)"原图形");
for (int i = 0; i < 3; i++)
{
dc.MoveTo(a[i][0], a[i][1]);
dc.LineTo(a[i + 1][0], a[i + 1][1]);
}
CPen pen;
pen.CreatePen(PS_SOLID, 1, RGB(0, 0, 255));
dc.SelectObject(&pen);
dc.TextOut(100 + Tx, 0, (CString)"错切后图形");
for (int i = 0; i < 3; i++)
{
dc.MoveTo(a[i][0] + c * a[i][1] + Tx, b * a[i][0] + a[i][1]);
dc.LineTo(a[i + 1][0] + c * a[i + 1][1] + Tx, b * a[i + 1][0] + a[i + 1][1]);
}
}
6.4比例
//比例
void ChuituView::Onbili2()
{
// TODO: 在此添加命令处理程序代码
CClientDC dc(this);
CRect rect;
GetClientRect(&rect);//返回的是设备坐标，而SetViewportOrg需要的也是设备坐标，故此处不用转换
dc.SetViewportOrg(rect.Width() / 2, rect.Height() / 2);
int Tx = 300;
int Sx = 3, Sy = 4; //放大缩小比例
int a[4][2] = { 0, 0, 100, 0, 100, 100, 0, 0 };//确定三角形的形状
dc.TextOut(100, 0, (CString)"原图形");
for (int i = 0; i < 3; i++)
{
dc.MoveTo(a[i][0], a[i][1]);
dc.LineTo(a[i + 1][0], a[i + 1][1]);
}
CPen pen;
pen.CreatePen(PS_SOLID, 1, RGB(0, 0, 255));
dc.SelectObject(&pen);
dc.TextOut(100 + Tx, 0, (CString)"比例变换后图形");
for (int i = 0; i < 3; i++)
{
dc.MoveTo(a[i][0] * Sx + Tx, a[i][1] * Sy);
dc.LineTo(a[i + 1][0] * Sx + Tx, a[i + 1][1] * Sy);
}
}
6.5对称
//对称
void ChuituView::Onduichen2()
{
// TODO: 在此添加命令处理程序代码
CClientDC dc(this);
CRect rect;
GetClientRect(&rect);//返回的是设备坐标，而SetViewportOrg需要的也是设备坐标，故此处不用转换
dc.SetViewportOrg(rect.Width() / 2, rect.Height() / 2);
int a[4][2] = { 0, 0, 100, 0, 100, 100, 0, 0 };//确定三角形的形状
dc.TextOut(100, 0, (CString)"原图形");
for (int i = 0; i < 3; i++)
{
dc.MoveTo(a[i][0], a[i][1]);
dc.LineTo(a[i + 1][0], a[i + 1][1]);
}
CPen pen;
pen.CreatePen(PS_SOLID, 1, RGB(0, 0, 255));
dc.SelectObject(&pen);
dc.TextOut(-100, -0, (CString)"对称后图形");
for (int i = 0; i < 3; i++)
{
dc.MoveTo(-a[i][0], -a[i][1]);
dc.LineTo(-a[i + 1][0], -a[i + 1][1]);
}
}
7.裁剪
7.1直线cohen-sutherland法
//直线cohen-sutherland法
unsigned int ChuituView::EnCode(CPoint point)
{
#define D0 1 //0001
#define D1 2 //0010
#define D2 4 //0100
#define D3 8 //1000
// TODO: 在此处添加实现代码.
int C1 = 0;
if (point.x < wxl)
C1 = C1 | D0;
if (point.x > wxr)
C1 = C1 | D1;
if (point.y < wyb)
C1 = C1 | D2;
if (point.y > wyt)
C1 = C1 | D3;
return C1;
}
void ChuituView::Oncs_line()
{
// TODO: 在此添加命令处理程序代码
CDC* pDC = GetDC();
ChuituDoc* pDoc = GetDocument();
ASSERT_VALID(pDoc);
if (!pDoc)
return;
// wxl为左侧裁剪边，wxr为右侧裁剪边，wyb为下侧裁剪边，wyt为上裁剪边。
wxl = 200, wxr = 700, wyb = 200, wyt = 600;
pDC->Rectangle(wxl, wyb, wxr, wyt);
CPoint A(500, 400), B(800, 420);//全部保留
CohenSutherland(A, B, pDC);
CPoint C(1000, 500), D(900, 500);//完全去除
CohenSutherland(C, D, pDC);
CPoint E(350, 300), F(1200, 300);//直线需要剪切
CohenSutherland(E, F, pDC);
}
void ChuituView::CohenSutherland(CPoint p1, CPoint p2, CDC * pdc)
{
#define D0 1 //0001
#define D1 2 //0010
#define D2 4 //0100
#define D3 8 //1000
// TODO: 在此处添加实现代码.
int code1, code2, code;
CPoint p;
code1 = EnCode(p1);
code2 = EnCode(p2);
while (code1 != 0 || code2 != 0)
{
if (code1 && code2 != 0)//全部位于外部
return;
if (code1 != 0)code = code1;//部分在外部
else
code = code2;
if ((D0 & code) != 0)//Left
{
p.x = wxl;
p.y = p1.y + (p.x - p1.x) * (p2.y - p1.y) / (p2.x - p1.x);
}
else if ((D1 & code) != 0)//Right
{
p.x = wxr;
p.y = p1.y + (p.x - p1.x) * (p2.y - p1.y) / (p2.x - p1.x);
}
else if ((D2 & code) != 0)//Bottom
{
p.y = wyb;
p.x = p1.x + (p.y - p1.y) * (p2.x - p1.x) / (p2.y - p1.y);
}
else if ((D3 & code) != 0)//Top
{
p.y = wyt;
p.x = p1.x + (p.y - p1.y) * (p2.x - p1.x) / (p2.y - p1.y);
}
if (code == code1)//p1在外部
{
p1.x = p.x; p1.y = p.y;
code1 = EnCode(p);
}
else
{
p2.x = p.x; p2.y = p.y;
code2 = EnCode(p);
}
}
CPen pen;
pen.CreatePen(PS_SOLID, 2, RGB(0, 123, 100));
pdc->SelectObject(&pen);
pdc->MoveTo(p1);
pdc->LineTo(p2);
}
7.2 多边形weiler-atherton法
//多边形weiler-atherton法
void ChuituView::Onwa_duo()
{
// TODO: 在此添加命令处理程序代码
int x0, y0, x1, y1;
CClientDC dc(this);
int min_clip_x = 100, min_clip_y = 100, max_clip_x = 300, max_clip_y = 300;
dc.MoveTo(min_clip_x, min_clip_y);
dc.LineTo(min_clip_x, max_clip_y);
dc.MoveTo(min_clip_x, max_clip_y);
dc.LineTo(max_clip_x, max_clip_y);
dc.MoveTo(max_clip_x, max_clip_y);
dc.LineTo(max_clip_x, min_clip_y);
dc.MoveTo(max_clip_x, min_clip_y);
dc.LineTo(min_clip_x, min_clip_y);
x0 = 120; y0 = 90; x1 = 310, y1 = 310;
cut_line(x0, y0, x1, y1);
}
void ChuituView::cut_line(int x0, int x1, int y0, int y1)
{
// TODO: 在此处添加实现代码.
#define CLIP_CODE_C 0x0000
#define CLIP_CODE_N 0x0008
#define CLIP_CODE_S 0x0004
#define CLIP_CODE_E 0x0002
#define CLIP_CODE_W 0x0001
#define CLIP_CODE_NE 0x000a
#define CLIP_CODE_SE 0x0006
#define CLIP_CODE_NW 0x0009
#define CLIP_CODE_SW 0x0005
int min_clip_x = 100, min_clip_y = 100, max_clip_x = 300, max_clip_y = 300;
int p0_code = 0, p1_code = 0;
//确定各个顶点所在的位置代码
if (y0 < min_clip_y)
p0_code |= CLIP_CODE_N;
else if (y0 > max_clip_y)
p0_code |= CLIP_CODE_S;
if (x0 < min_clip_x)
p0_code |= CLIP_CODE_W;
else if (x0 > max_clip_x)
p0_code |= CLIP_CODE_E;
if (y1 < min_clip_y)
p1_code |= CLIP_CODE_N;
else if (y1 > max_clip_y)
p1_code |= CLIP_CODE_S;
if (x1 < min_clip_x)
p1_code |= CLIP_CODE_W;
else if (x1 > max_clip_x)
p1_code |= CLIP_CODE_E;
//先检测一些简单的情况
if (p0_code & p1_code) //有相同的位置代码，表示在裁剪区外部
{
return;
}
else if (p0_code == 0 && p1_code == 0) //表示两个点都在裁剪区内，不需要裁剪
{
CClientDC dc(this);
dc.MoveTo(x0, y0);
dc.LineTo(x1, y1);
return;
}
else
{
int x2, y2;
x2 = (x0 + x1) / 2;
y2 = (y0 + y1) / 2;
if (x0 - x2 > 1 || x2 - x0 > 1)
{
cut_line(x0, y0, x2, y2);
}
if (x1 - x2 > 1 || x2 - x1 > 1)
{
cut_line(x2, y2, x1, y1);
}
}
return;
}
8.三维几何变换-五种基本变换
8.1平移
//平移
void ChuituView::Onpingyi3()
{
// TODO: 在此添加命令处理程序代码
CClientDC dc(this);
CPen pen1, pen2;
pen1.CreatePen(PS_SOLID, 2, RGB(0, 0, 0));
pen2.CreatePen(PS_SOLID, 2, RGB(0, 0, 255));//粗度为2，由黑色变为蓝色
int a[4][4] = { 100, 150, 0, 1, 50, 200, 0, 1, 150, 200, 0, 1, 100, 150, 0, 1 };
dc.SelectObject(&pen1);
dc.MoveTo(a[0][0], a[0][1]);
for (int i = 0; i < 4; i++)
{
dc.LineTo(a[i][0], a[i][1]);
}
int b[4][4] = { 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 100, 100, 0, 1 };
int c[4][4];
for (int i = 0; i < 4; i++)
{
for (int j = 0; j < 4; j++)
{
c[i][j] = 0;
}
}
for (int i = 0; i < 4; i++)
{
for (int j = 0; j < 4; j++)
{
for (int k = 0; k < 4; k++)
{
c[i][j] = c[i][j] + a[i][k] * b[k][j];
}
}
}
dc.SelectObject(&pen2);
dc.MoveTo(c[0][0], c[0][1]);
for (int i = 0; i < 4; i++)
{
dc.LineTo(c[i][0], c[i][1]);
}
pen1.DeleteObject();
pen2.DeleteObject();
}
8.2旋转
//旋转
void ChuituView::Onxuanzhuan3()
{
// TODO: 在此添加命令处理程序代码
CClientDC dc(this);
CPen pen1, pen2;
pen1.CreatePen(PS_SOLID, 2, RGB(0, 0, 0));
pen2.CreatePen(PS_SOLID, 2, RGB(0, 0, 255));//粗度为2，由黑色变为蓝色
int a[4][4] = { 100, 150, 0, 1, 50, 200, 0, 1, 150, 200, 0, 1, 100, 150, 0, 1 };
dc.SelectObject(&pen1);
dc.MoveTo(a[0][0], a[0][1]);
for (int i = 0; i < 4; i++)
{
dc.LineTo(a[i][0], a[i][1]);
}
int t = 600;
dc.SelectObject(&pen2);
dc.MoveTo(a[0][0] * cos((t / 6) * 1.0) - a[0][1] * sin((t / 6) * 1.0),//一个点
a[0][0] * sin((t / 6) * 1.0) + a[0][1] * cos((t / 6) * 1.0));
for (int i = 0; i < 4; i++)
{
dc.LineTo(a[i][0] * cos((t / 6) * 1.0) - a[i][1] * sin((t / 6) * 1.0),//一个点
a[i][0] * sin((t / 6) * 1.0) + a[i][1] * cos((t / 6) * 1.0));
}
pen1.DeleteObject();
pen2.DeleteObject();
}
8.3对称
//对称
void ChuituView::Onduichen3()
{
// TODO: 在此添加命令处理程序代码
CClientDC dc(this);
CPen pen1, pen2;
pen1.CreatePen(PS_SOLID, 2, RGB(0, 0, 0));
pen2.CreatePen(PS_SOLID, 2, RGB(0, 0, 255));//粗度为2，由黑色变为蓝色
int a[4][4] = { 100, 150, 0, 1, 50, 200, 0, 1, 150, 200, 0, 1, 100, 150, 0, 1 };
dc.SelectObject(&pen1);
dc.MoveTo(a[0][0], a[0][1]);
for (int i = 0; i < 4; i++)
{
dc.LineTo(a[i][0], a[i][1]);
}
int b[4][4] = { 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 }; //沿y=x对称
int c[4][4];
for (int i = 0; i < 4; i++)
{
for (int j = 0; j < 4; j++)
{
c[i][j] = 0;
}
}
for (int i = 0; i < 4; i++)
{
for (int j = 0; j < 4; j++)
{
for (int k = 0; k < 4; k++)
{
c[i][j] = c[i][j] + a[i][k] * b[k][j];
}
}
}
dc.SelectObject(&pen2);
dc.MoveTo(c[0][0], c[0][1]);
for (int i = 0; i < 4; i++)
{
dc.LineTo(c[i][0], c[i][1]);
}
pen1.DeleteObject();
pen2.DeleteObject();
}
8.4比例
//比例
void ChuituView::Onbili3()
{
// TODO: 在此添加命令处理程序代码
CClientDC dc(this);
CPen pen1, pen2;
pen1.CreatePen(PS_SOLID, 2, RGB(0, 0, 0));
pen2.CreatePen(PS_SOLID, 2, RGB(0, 0, 255));//粗度为2，由黑色变为蓝色
int a[4][4] = { 100, 150, 0, 1, 50, 200, 0, 1, 150, 200, 0, 1, 100, 150, 0, 1 };
dc.SelectObject(&pen1);
dc.MoveTo(a[0][0], a[0][1]);
for (int i = 0; i < 4; i++)
{
dc.LineTo(a[i][0], a[i][1]);
}
int b[4][4] = { 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1 };
int c[4][4];
for (int i = 0; i < 4; i++)
{
for (int j = 0; j < 4; j++)
{
c[i][j] = 0;
}
}
for (int i = 0; i < 4; i++)
{
for (int j = 0; j < 4; j++)
{
for (int k = 0; k < 4; k++)
{
c[i][j] = c[i][j] + a[i][k] * b[k][j];
}
}
}
dc.SelectObject(&pen2);
dc.MoveTo(c[0][0], c[0][1]);
for (int i = 0; i < 4; i++)
{
dc.LineTo(c[i][0], c[i][1]);
}
pen1.DeleteObject();
pen2.DeleteObject();
}
8.5错切
//错切
void ChuituView::Oncuoqie3()
{
// TODO: 在此添加命令处理程序代码
CClientDC dc(this);
CPen pen1, pen2;
pen1.CreatePen(PS_SOLID, 2, RGB(0, 0, 0));
pen2.CreatePen(PS_SOLID, 2, RGB(0, 0, 255));//粗度为2，由黑色变为蓝色
int a[4][4] = { 100, 150, 0, 1, 50, 200, 0, 1, 150, 200, 0, 1, 100, 150, 0, 1 };
dc.SelectObject(&pen1);
dc.MoveTo(a[0][0], a[0][1]);
for (int i = 0; i < 4; i++) {
dc.LineTo(a[i][0], a[i][1]);
}
int b[4][4] = { 1, 2, 0, 0, 1.5, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 };
int c[4][4];
for (int i = 0; i < 4; i++) {
for (int j = 0; j < 4; j++) {
c[i][j] = 0;
}
}
for (int i = 0; i < 4; i++) {
for (int j = 0; j < 4; j++) {
for (int k = 0; k < 4; k++) {
c[i][j] = c[i][j] + a[i][k] * b[k][j];
}
}
}
dc.SelectObject(&pen2);
dc.MoveTo(c[0][0], c[0][1]);
for (int i = 0; i < 4; i++) {
dc.LineTo(c[i][0], c[i][1]);
}
pen1.DeleteObject();
pen2.DeleteObject();
}
9.三视图
//三视图
void ChuituView::Onsanshitu()
{
// TODO: 在此添加命令处理程序代码
CDC* pDC = GetDC();
int a[10][4] = { {0,0,0,1},{0,0,2,1},{1,0,2,1},{1,0,0,1},{0,1,0,1},{0,1,1,1},{0,1,2,1},{1,1,2,1},{1,2,1,1},{1,2,0,1} };
int T1[4][4] = { {1,0,0,0},{0,1,0,0},{0,0,0,0},{0,0,0,1} };
int T2[4][4] = { {0,0,0,0},{0,1,0,0},{0,0,1,0},{0,0,0,1} };
int Ry[4][4] = { {0,0,-1,0},{0,1,0,0},{1,0,0,0},{0,0,0,0} };
int Tw[4][4] = { {0,0,0,0},{0,1,0,0},{1,0,0,0},{2,0,0,1} };
int Mx[4][4] = { {1,0,0,0},{0,1,0,0},{0,0,1,0},{100,0,0,1} };
int t[4][4], b[10][4], c[10][4], d[10][4];
int i, j, k, temp;
for (i = 0; i < 4; i++)
{
for (j = 0; j < 4; j++)
{
temp = 0;
for (k = 0; k < 4; k++)
{
temp = temp + T2[i][k] * Mx[k][j];
}
t[i][j] = temp;
}
}
int Th[4][4] = { {1,0,0,0},{0,0,0,0},{0,-1,0,0},{0,5,0,1} };
for (i = 0; i < 10; i++)
{
for (j = 0; j < 4; j++)
{
temp = 0;
for (k = 0; k < 4; k++)
{
temp = temp + a[i][k] * T1[k][j];
}
b[i][j] = temp;
}
}
CPen pen1(PS_SOLID, 1, RGB(255, 0, 0));
CPen* p1, *p2;
p1 = pDC->SelectObject(&pen1);
//1-2
pDC->MoveTo(b[0][0] * 50 * 2, b[0][1] * 50 * 2);
pDC->LineTo(b[1][0] * 50 * 2, b[1][1] * 50 * 2);
//1-4
pDC->MoveTo(b[0][0] * 50 * 2, b[0][1] * 50 * 2);
pDC->LineTo(b[3][0] * 50 * 2, b[3][1] * 50 * 2);
//1-5
pDC->MoveTo(b[0][0] * 50 * 2, b[0][1] * 50 * 2);
pDC->LineTo(b[4][0] * 50 * 2, b[4][1] * 50 * 2);
//2-3
pDC->MoveTo(b[1][0] * 50 * 2, b[1][1] * 50 * 2);
pDC->LineTo(b[2][0] * 50 * 2, b[2][1] * 50 * 2);
//2-7
pDC->MoveTo(b[1][0] * 50 * 2, b[1][1] * 50 * 2);
pDC->LineTo(b[6][0] * 50 * 2, b[6][1] * 50 * 2);
//3-4
pDC->MoveTo(b[2][0] * 50 * 2, b[2][1] * 50 * 2);
pDC->LineTo(b[3][0] * 50 * 2, b[3][1] * 50 * 2);
//3-8
pDC->MoveTo(b[2][0] * 50 * 2, b[2][1] * 50 * 2);
pDC->LineTo(b[7][0] * 50 * 2, b[7][1] * 50 * 2);
//4-10
pDC->MoveTo(b[3][0] * 50 * 2, b[3][1] * 50 * 2);
pDC->LineTo(b[9][0] * 50 * 2, b[9][1] * 50 * 2);
//5-6
pDC->MoveTo(b[4][0] * 50 * 2, b[4][1] * 50 * 2);
pDC->LineTo(b[5][0] * 50 * 2, b[5][1] * 50 * 2);
//5-10
pDC->MoveTo(b[4][0] * 50 * 2, b[4][1] * 50 * 2);
pDC->LineTo(b[9][0] * 50 * 2, b[9][1] * 50 * 2);
//6-7
pDC->MoveTo(b[5][0] * 50 * 2, b[5][1] * 50 * 2);
pDC->LineTo(b[6][0] * 50 * 2, b[6][1] * 50 * 2);
//6-8
pDC->MoveTo(b[5][0] * 50 * 2, b[5][1] * 50 * 2);
pDC->LineTo(b[7][0] * 50 * 2, b[7][1] * 50 * 2);
//6-9
pDC->MoveTo(b[5][0] * 50 * 2, b[5][1] * 50 * 2);
pDC->LineTo(b[8][0] * 50 * 2, b[8][1] * 50 * 2);
//7-8
pDC->MoveTo(b[6][0] * 50 * 2, b[6][1] * 50 * 2);
pDC->LineTo(b[7][0] * 50 * 2, b[7][1] * 50 * 2);
//8-9
pDC->MoveTo(b[7][0] * 50 * 2, b[7][1] * 50 * 2);
pDC->LineTo(b[8][0] * 50 * 2, b[8][1] * 50 * 2);
//9-10
pDC->MoveTo(b[8][0] * 50 * 2, b[8][1] * 50 * 2);
pDC->LineTo(b[9][0] * 50 * 2, b[9][1] * 50 * 2);
for (i = 0; i < 10; i++)
{
for (j = 0; j < 4; j++)
{
temp = 0;
for (k = 0; k < 4; k++)
{
temp = temp + a[i][k] * Tw[k][j];
}
c[i][j] = temp;
}
}
CPen pen2(PS_SOLID, 1, RGB(128, 128, 0));
p2 = pDC->SelectObject(&pen2);
//1-2
pDC->MoveTo(c[0][0] * 50 * 2, c[0][1] * 50 * 2);
pDC->LineTo(c[1][0] * 50 * 2, c[1][1] * 50 * 2);
//1-4
pDC->MoveTo(c[0][0] * 50 * 2, c[0][1] * 50 * 2);
pDC->LineTo(c[3][0] * 50 * 2, c[3][1] * 50 * 2);
//1-5
pDC->MoveTo(c[0][0] * 50 * 2, c[0][1] * 50 * 2);
pDC->LineTo(c[4][0] * 50 * 2, c[4][1] * 50 * 2);
//2-3
pDC->MoveTo(c[1][0] * 50 * 2, c[1][1] * 50 * 2);
pDC->LineTo(c[2][0] * 50 * 2, c[2][1] * 50 * 2);
//2-7
pDC->MoveTo(c[1][0] * 50 * 2, c[1][1] * 50 * 2);
pDC->LineTo(c[6][0] * 50 * 2, c[6][1] * 50 * 2);
//3-4
pDC->MoveTo(c[2][0] * 50 * 2, c[2][1] * 50 * 2);
pDC->LineTo(c[3][0] * 50 * 2, c[3][1] * 50 * 2);
//3-8
pDC->MoveTo(c[2][0] * 50 * 2, c[2][1] * 50 * 2);
pDC->LineTo(c[7][0] * 50 * 2, c[7][1] * 50 * 2);
//4-10
pDC->MoveTo(c[3][0] * 50 * 2, c[3][1] * 50 * 2);
pDC->LineTo(c[9][0] * 50 * 2, c[9][1] * 50 * 2);
//5-10
pDC->MoveTo(c[4][0] * 50 * 2, c[4][1] * 50 * 2);
pDC->LineTo(c[9][0] * 50 * 2, c[9][1] * 50 * 2);
//5-6
CPen pen3(PS_DASH, 1, RGB(128, 128, 0));
p2 = pDC->SelectObject(&pen3);
pDC->MoveTo(c[4][0] * 50 * 2, c[4][1] * 50 * 2);
pDC->LineTo(c[5][0] * 50 * 2, c[5][1] * 50 * 2);
//6-7
pDC->MoveTo(c[5][0] * 50 * 2, c[5][1] * 50 * 2);
pDC->LineTo(c[6][0] * 50 * 2, c[6][1] * 50 * 2);
//6-8
pDC->MoveTo(c[5][0] * 50 * 2, c[5][1] * 50 * 2);
pDC->LineTo(c[7][0] * 50 * 2, c[7][1] * 50 * 2);
//6-9
pDC->MoveTo(c[5][0] * 50 * 2, c[5][1] * 50 * 2);
pDC->LineTo(c[8][0] * 50 * 2, c[8][1] * 50 * 2);
//7-8
pDC->MoveTo(c[6][0] * 50 * 2, c[6][1] * 50 * 2);
pDC->LineTo(c[7][0] * 50 * 2, c[7][1] * 50 * 2);
CPen pen4(PS_SOLID, 1, RGB(128, 128, 0));
p2 = pDC->SelectObject(&pen4);
//8-9
pDC->MoveTo(c[7][0] * 50 * 2, c[7][1] * 50 * 2);
pDC->LineTo(c[8][0] * 50 * 2, c[8][1] * 50 * 2);
//9-10
pDC->MoveTo(c[8][0] * 50 * 2, c[8][1] * 50 * 2);
pDC->LineTo(c[9][0] * 50 * 2, c[9][1] * 50 * 2);
for (i = 0; i < 10; i++)
{
for (j = 0; j < 4; j++)
{
temp = 0;
for (k = 0; k < 4; k++)
{
temp = temp + a[i][k] * Th[k][j];
}
d[i][j] = temp;
}
}
CPen pen5(PS_SOLID, 1, RGB(0, 0, 255));
p1 = pDC->SelectObject(&pen5);
//1-2
pDC->MoveTo(d[0][0] * 50 * 2, d[0][1] * 50 * 2);
pDC->LineTo(d[1][0] * 50 * 2, d[1][1] * 50 * 2);
//1-4
pDC->MoveTo(d[0][0] * 50 * 2, d[0][1] * 50 * 2);
pDC->LineTo(d[3][0] * 50 * 2, d[3][1] * 50 * 2);
//1-5
pDC->MoveTo(d[0][0] * 50 * 2, d[0][1] * 50 * 2);
pDC->LineTo(d[4][0] * 50 * 2, d[4][1] * 50 * 2);
//2-3
pDC->MoveTo(d[1][0] * 50 * 2, d[1][1] * 50 * 2);
pDC->LineTo(d[2][0] * 50 * 2, d[2][1] * 50 * 2);
//2-7
pDC->MoveTo(d[1][0] * 50 * 2, d[1][1] * 50 * 2);
pDC->LineTo(d[6][0] * 50 * 2, d[6][1] * 50 * 2);
//3-4
pDC->MoveTo(d[2][0] * 50 * 2, d[2][1] * 50 * 2);
pDC->LineTo(d[3][0] * 50 * 2, d[3][1] * 50 * 2);
//3-8
pDC->MoveTo(d[2][0] * 50 * 2, d[2][1] * 50 * 2);
pDC->LineTo(d[7][0] * 50 * 2, d[7][1] * 50 * 2);
//4-10
pDC->MoveTo(d[3][0] * 50 * 2, d[3][1] * 50 * 2);
pDC->LineTo(d[9][0] * 50 * 2, d[9][1] * 50 * 2);
//5-6
pDC->MoveTo(d[4][0] * 50 * 2, d[4][1] * 50 * 2);
pDC->LineTo(d[5][0] * 50 * 2, d[5][1] * 50 * 2);
//5-10
pDC->MoveTo(d[4][0] * 50 * 2, d[4][1] * 50 * 2);
pDC->LineTo(d[9][0] * 50 * 2, d[9][1] * 50 * 2);
//6-7
pDC->MoveTo(d[5][0] * 50 * 2, d[5][1] * 50 * 2);
pDC->LineTo(d[6][0] * 50 * 2, d[6][1] * 50 * 2);
//6-8
pDC->MoveTo(d[5][0] * 50 * 2, d[5][1] * 50 * 2);
pDC->LineTo(d[7][0] * 50 * 2, d[7][1] * 50 * 2);
//6-9
pDC->MoveTo(d[5][0] * 50 * 2, d[5][1] * 50 * 2);
pDC->LineTo(d[8][0] * 50 * 2, d[8][1] * 50 * 2);
//7-8
pDC->MoveTo(d[6][0] * 50 * 2, d[6][1] * 50 * 2);
pDC->LineTo(d[7][0] * 50 * 2, d[7][1] * 50 * 2);
//8-9
pDC->MoveTo(d[7][0] * 50 * 2, d[7][1] * 50 * 2);
pDC->LineTo(d[8][0] * 50 * 2, d[8][1] * 50 * 2);
//9-10
pDC->MoveTo(d[8][0] * 50 * 2, d[8][1] * 50 * 2);
pDC->LineTo(d[9][0] * 50 * 2, d[9][1] * 50 * 2);
}
10.一些配置
//重定义坐标轴
void ChuituView::Axis(CDC * pDC, CRect rect)
{
// TODO: 在此处添加实现代码.
// 画坐标轴
pDC->MoveTo(0, rect.Height() / 2);
pDC->LineTo(rect.Width(), rect.Height() / 2);
pDC->MoveTo(rect.Width() / 2, 0);
pDC->LineTo(rect.Width() / 2, rect.Height());
//移动坐标原点到客户区中心
pDC->SetMapMode(MM_ISOTROPIC);
pDC->SetViewportExt(rect.right, rect.bottom);
pDC->SetViewportOrg(rect.right / 2, rect.bottom / 2);
pDC->SetWindowOrg(0, 0);
pDC->SetWindowExt(1000, -1000);
}
// 清屏
void ChuituView::OnClean()
{
// 清屏
RedrawWindow();
state = 0;
}
//起点赋值
void ChuituView::OnLButtonDown(UINT nFlags, CPoint point)
{
// TODO: 在此添加消息处理程序代码和/或调用默认值
CDC * pDC = GetDC();
CView::OnLButtonDown(nFlags, point);
B_x = point.x;//将鼠标此时x位置付给变量m_B_x
B_y = point.y;
}
//终点赋值
void ChuituView::OnLButtonUp(UINT nFlags, CPoint point)
{
CView::OnLButtonUp(nFlags, point);
E_x = point.x;
E_y = point.y;
int r = (int)sqrt((E_y - B_y) *(E_y - B_y) - (E_x - B_x) *(E_x - B_x));
switch (state)
{
case 1:OnBresenhamline_1(B_x, B_y, E_x, E_y); break;
case 2:Bresenhamcircle_1(B_x, B_y, r); break;
}
}
在其他电脑上无法运行mfc.exe
项目 -> 配置属性->常规->MFC的使用 :在静态库中使用MFC。
11.二维变换
/*
二维几何变换-五种基本变换
*/
//平移
void ChuituView::Onpingyi2()
{
// TODO: 在此添加命令处理程序代码
CClientDC dc(this);
CRect rect;
GetClientRect(&rect);
// 画坐标轴
dc.MoveTo(0, rect.Height() / 2);
dc.LineTo(rect.Width(), rect.Height() / 2);
dc.MoveTo(rect.Width() / 2, 0);
dc.LineTo(rect.Width() / 2, rect.Height());
//移动坐标原点到客户区中心
dc.SetMapMode(MM_ISOTROPIC);
dc.SetViewportExt(rect.right, rect.bottom);
dc.SetViewportOrg(rect.right / 2, rect.bottom / 2);
dc.SetWindowOrg(0, 0);
dc.SetWindowExt(1000, -1000);
CPen pen1;
pen1.CreatePen(PS_DASH, 1, RGB(255, 0, 0));
dc.SelectObject(&pen1);
Pingyi_2 pp2;
pp2.DoModal();
int Tx =pp2.Tx, Ty = pp2.Ty;
dc.MoveTo(100, 0);
dc.LineTo(100, 1000);
dc.MoveTo(pp2.Tx, 0);
dc.LineTo(pp2.Tx, 1000);
int a[6][2] = { 0, 0, 100, 0, 100, 100,0,100, 0, 0 };//确定四边形的形状
dc.TextOut(100, 0, (CString)"原图形");
CPen pen;
pen.CreatePen(PS_SOLID, 1, RGB(0, 0, 255));
dc.SelectObject(&pen);
for (int i = 0; i < 5; i++)
{
dc.MoveTo(a[i][0], a[i][1]);
dc.LineTo(a[i + 1][0], a[i + 1][1]);
}
dc.TextOut(100 + Tx, Ty, (CString)"平移后图形");
for (int i = 0; i < 5; i++)
{
dc.MoveTo(a[i][0] + Tx, a[i][1] + Ty);
dc.LineTo(a[i + 1][0] + Tx, a[i + 1][1] + Ty);
}
}
//旋转
void ChuituView::Onxuanzhaun2()
{
// TODO: 在此添加命令处理程序代码
CClientDC dc(this);
CRect rect;
GetClientRect(&rect);//返回的是设备坐标，而SetViewportOrg需要的也是设备坐标，故此处不用转换
// 画坐标轴
dc.MoveTo(0, rect.Height() / 2);
dc.LineTo(rect.Width(), rect.Height() / 2);
dc.MoveTo(rect.Width() / 2, 0);
dc.LineTo(rect.Width() / 2, rect.Height());
//移动坐标原点到客户区中心
dc.SetMapMode(MM_ISOTROPIC);
dc.SetViewportExt(rect.right, rect.bottom);
dc.SetViewportOrg(rect.right / 2, rect.bottom / 2);
dc.SetWindowOrg(0, 0);
dc.SetWindowExt(1000, -1000);
CPen pen1;
pen1.CreatePen(PS_DASH, 1, RGB(255, 0, 0));
dc.SelectObject(&pen1);
dc.MoveTo(150, 0);
dc.LineTo(150, 1000);
float o = 3.1415926 / 2; //旋转90度
float c = cos(o);
float s = sin(o);
int Tx = 300;
int a[4][2] = { 0, 0, 100, 0, 100, 100, 0, 0 };//确定三角形的形状
CPen pen;
pen.CreatePen(PS_SOLID, 1, RGB(0, 0, 255));
dc.SelectObject(&pen);
dc.TextOut(100, 0, (CString)"原图形");
for (int i = 0; i < 3; i++)
{
dc.MoveTo(a[i][0], a[i][1]);
dc.LineTo(a[i + 1][0], a[i + 1][1]);
}
dc.TextOut(100 * c + Tx, 0, (CString)"旋转后图形");
for (int i = 0; i < 3; i++)
{
dc.MoveTo(a[i][0] * c - a[i][1] * s + Tx, a[i][0] * s + a[i][0] * c);
dc.LineTo(a[i + 1][0] * c - a[i + 1][1] * s + Tx, a[i + 1][0] * s + a[i + 1][0] * c);
}
}
//错切
void ChuituView::Oncuoqie2()
{
// TODO: 在此添加命令处理程序代码
CClientDC dc(this);
CRect rect;
GetClientRect(&rect);//返回的是设备坐标，而SetViewportOrg需要的也是设备坐标，故此处不用转换
int b = 2, c = 2;
int Tx = 300;
int a[4][2] = { 0, 0, 100, 0, 100, 100, 0, 0 };//确定三角形的形状
// 画坐标轴
dc.MoveTo(0, rect.Height() / 2);
dc.LineTo(rect.Width(), rect.Height() / 2);
dc.MoveTo(rect.Width() / 2, 0);
dc.LineTo(rect.Width() / 2, rect.Height());
//移动坐标原点到客户区中心
dc.SetMapMode(MM_ISOTROPIC);
dc.SetViewportExt(rect.right, rect.bottom);
dc.SetViewportOrg(rect.right / 2, rect.bottom / 2);
dc.SetWindowOrg(0, 0);
dc.SetWindowExt(1000, -1000);
CPen pen1;
pen1.CreatePen(PS_DASH, 1, RGB(255, 0, 0));
dc.SelectObject(&pen1);
dc.MoveTo(200, 0);
dc.LineTo(200, 1000);
CPen pen;
pen.CreatePen(PS_SOLID, 1, RGB(0, 0, 255));
dc.SelectObject(&pen);
dc.TextOut(100, 0, (CString)"原图形");
for (int i = 0; i < 3; i++)
{
dc.MoveTo(a[i][0], a[i][1]);
dc.LineTo(a[i + 1][0], a[i + 1][1]);
}
dc.TextOut(100 + Tx, 0, (CString)"错切后图形");
for (int i = 0; i < 3; i++)
{
dc.MoveTo(a[i][0] + c * a[i][1] + Tx, b * a[i][0] + a[i][1]);
dc.LineTo(a[i + 1][0] + c * a[i + 1][1] + Tx, b * a[i + 1][0] + a[i + 1][1]);
}
}
//比例
void ChuituView::Onbili2()
{
// TODO: 在此添加命令处理程序代码
CClientDC dc(this);
CRect rect;
GetClientRect(&rect);
bili_2 bb;
bb.DoModal();
int Tx = bb.Tx;
int Sx = bb.Sx, Sy = bb.Sy; //放大缩小比例
int a[4][2] = { 0, 0, 100, 0, 100, 100, 0, 0 };//确定三角形的形状
// 画坐标轴
dc.MoveTo(0, rect.Height() / 2);
dc.LineTo(rect.Width(), rect.Height() / 2);
dc.MoveTo(rect.Width() / 2, 0);
dc.LineTo(rect.Width() / 2, rect.Height());
//移动坐标原点到客户区中心
dc.SetMapMode(MM_ISOTROPIC);
dc.SetViewportExt(rect.right, rect.bottom);
dc.SetViewportOrg(rect.right / 2, rect.bottom / 2);
dc.SetWindowOrg(0, 0);
dc.SetWindowExt(1000, -1000);
CPen pen1;
pen1.CreatePen(PS_DASH, 1, RGB(255, 0, 0));
dc.SelectObject(&pen1);
dc.MoveTo(Tx, 0);
dc.LineTo(Tx, 1000);
CPen pen;
pen.CreatePen(PS_SOLID, 1, RGB(0, 0, 255));
dc.SelectObject(&pen);
dc.TextOut(100, 0, (CString)"原图形");
for (int i = 0; i < 3; i++)
{
dc.MoveTo(a[i][0], a[i][1]);
dc.LineTo(a[i + 1][0], a[i + 1][1]);
}
dc.TextOut(100 + Tx, 0, (CString)"比例变换后图形");
for (int i = 0; i < 3; i++)
{
dc.MoveTo(a[i][0] * Sx + Tx, a[i][1] * Sy);
dc.LineTo(a[i + 1][0] * Sx + Tx, a[i + 1][1] * Sy);
}
}
//对称
void ChuituView::Onduichen2()
{
// TODO: 在此添加命令处理程序代码
CClientDC dc(this);
CRect rect;
GetClientRect(&rect);//返回的是设备坐标，而SetViewportOrg需要的也是设备坐标，故此处不用转换
int a[4][2] = { 0, 0, 100, 0, 100, 100, 0, 0 };//确定三角形的形状
// 画坐标轴
dc.MoveTo(0, rect.Height() / 2);
dc.LineTo(rect.Width(), rect.Height() / 2);
dc.MoveTo(rect.Width() / 2, 0);
dc.LineTo(rect.Width() / 2, rect.Height());
//移动坐标原点到客户区中心
dc.SetMapMode(MM_ISOTROPIC);
dc.SetViewportExt(rect.right, rect.bottom);
dc.SetViewportOrg(rect.right / 2, rect.bottom / 2);
dc.SetWindowOrg(0, 0);
dc.SetWindowExt(1000, -1000);
CPen pen1;
pen1.CreatePen(PS_DASH, 1, RGB(255, 0, 0));
dc.SelectObject(&pen1);
CPen pen;
pen.CreatePen(PS_SOLID, 1, RGB(0, 0, 255));
dc.SelectObject(&pen);
dc.TextOut(100, 0, (CString)"原图形");
for (int i = 0; i < 3; i++)
{
dc.MoveTo(a[i][0], a[i][1]);
dc.LineTo(a[i + 1][0], a[i + 1][1]);
}
dc.TextOut(-100, -0, (CString)"对称后图形");
for (int i = 0; i < 3; i++)
{
dc.MoveTo(-a[i][0], -a[i][1]);
dc.LineTo(-a[i + 1][0], -a[i + 1][1]);
}
}